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Regular black holes via the Kerr-Schild construction in DHOST theories

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arxiv 2004.00597 v2 pith:LU57AAM5 submitted 2020-04-01 hep-th gr-qc

Eugeny Babichev , Christos Charmousis , Adolfo Cisterna , Mokhtar Hassaine This is my paper · ORCID
classification hep-thgr-qc
keywords blackkerr-schildtheoriesconstructdhostgeneratingmethodscalar
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We extend the standard Kerr-Schild solution generating method to higher order scalar tensor theories that are shift-invariant for the scalar field. Certain degeneracy conditions, crucial for the absence of Ostrogradski ghosts, are found to be required for the validity of the Kerr-Schild ansatz while on the other hand, theories with no parity symmetry are excluded from the solution generating method. The extended Kerr-Schild symmetry turns out to be a very useful tool to easily construct black hole solutions from simple seed configurations. In particular, the generating method developed is adapted to construct generic black holes but also regular black hole solutions within Degenerate Higher Order Scalar Tensor (DHOST) theories. As a particular example we show how to construct explicitly the Hayward metric as a solution to a specific DHOST theory.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Static regular black holes in Horndeski theories: analytic no-go and nonanalytic obstructions

    gr-qc 2026-07 accept novelty 7.0 of 10

    Analytic nondegenerate shift-symmetric Horndeski theories admit no static spherical regular black holes with a time-independent scalar; the unique marginal nonanalytic completion is sGB, whose hairy solutions remain c...

  2. Test-Field vs Physical Quasi-Normal Modes in Scalar-Tensor Theories

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Test-field QNM spectra of BCL black holes deviate strongly from physical axial gravitational QNM spectra at high overtones, while fundamental modes remain close.

  3. Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes

    gr-qc 2025-07 reject novelty 5.0 of 10

    In the Lorentzian-Euclidean black hole, photons and massive particles are claimed to be unable to cross the event horizon, making the spacetime geodesically complete and avoiding the central singularity.

  4. Thermodynamics of four-dimensional regular black holes with an infinite tower of regularized curvature corrections

    gr-qc 2025-05 conditional novelty 5.0 of 10

    Planar regular black holes from an infinite tower of higher-curvature corrections are thermodynamically indistinguishable from singular GR black holes, while spherical horizons may lift this degeneracy.

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